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A town has a population of 10000 and grows at 5% every year. What will be the population after 5 years, to the nearest whole number?
Find the curl F given that F x,y,z = 3x2i+2zj-xk
An element with mass 630 grams decays by
18.8% per minute. How much of the element
is remaining after 7 minutes, to the nearest
10th of a gram?
A cone has a diameter of 16 units and a height of 11 units. How many cubic units is the volume of the cone?
The probability that Tope passes an exam is 1/3 and probabilities that his brother
and sister pass the same exam are 2/5 and 3/8 respectively. Find the probability that
the three of them will fail the exam.
A study is performed to determine how the study habits of Canadian
high school students changes over time. Which type of study is most
appropriate?
In a certain true or false exam, there are 10 questions
set for the candidate. If a candidate guesses the answer
at each time
a) What is the probability that the candidate will get 8 or
more correct answers?
b) What is the probability that the candidate will answer
6 questions correctly?
c) What is the mean number of correct answers you
would expect the candidate to obtain? Find the
variance
How would we know if we are to reject the null hypothesis and accept the alternative hypothesis
Translate in two ways each of these statements into logical expressions using predicates, quantifiers, and logical connectives. First, let the domain consist of the students in your class and second, let it consist of all people. a) Everyone in your class has a cellular phone. b) Somebody in your class has seen a foreign movie. c) There is a person in your class who cannot swim. d) All students in your class can solve quadratic equations. e) Some student in your class does not want to be rich.
The vectors V1 - (1, 1, 2, 4), V2 - (2, - I , -5 , 2), V3 = (1, -1 , -4 , 0) and
V4 = (2, 1, 1 ,6 ) are linearly independent. Is it true ? Justify your answer
